Two Energy Conserving Numerical Schemes for the Klein‐Gordon‐Zakharov Equations

Juan Chen and Luming Zhang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: Two new difference schemes are proposed for an initial‐boundary‐value problem of the Klein‐Gordon‐Zakharov (KGZ) equations. They have the advantage that there is a discrete energy which is conserved. Their stability and convergence of difference solutions are proved in order O(h2 + τ2) on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes.

Date: 2013
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https://doi.org/10.1155/2013/462018

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:462018

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